We introduce a top news list model based on extremal shot noise with Poisson arrival flow. We find one- and multi-dimensional distributions of popularity of current news (at arbitrary time and at infinity), as well as distributions of places of news in a top list and their sojourn times in a stationary regime. We consider in detail the case where the popularity of a news item is Pareto distributed at the initial time and then decreases exponentially.
Problems of Information Transmission – Springer Journals
Published: Oct 23, 2009
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